Appreciate help with the following problem:

At a concert 500 tickets were sold. Cheap tickets cost £5, expensive tickets cost £9.

If the total receipts were £3220, how many cheap tickets were sold.

TIA

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- March 24th 2007, 12:06 PMBIGEYESimultaneous equation help
Appreciate help with the following problem:

At a concert 500 tickets were sold. Cheap tickets cost £5, expensive tickets cost £9.

If the total receipts were £3220, how many cheap tickets were sold.

TIA - March 24th 2007, 12:12 PMJhevon
let the number of cheap tickets be c

let the number of expensive tickets be e

we have

c + e = 500 .......................(1)

5c + 9e = 3220 ...................(2)

if you don't understand how i got these equations tell me

9c + 9e = 4500 ................(3) = (1)*9

5c + 9e = 3220 ................(2)

=> 4c = 1280 .................(3) - (2)

=> c = 1280/4 = 320

320 cheap tickets were sold